不定積分の ∫ 1 - sin²x dx = -1 - tanx

posted:ヌマゴン[lKsvH4n83nww10] 13/12/01 14:31:27
comment:
∫{1}over{sin^2 x}dx
newline ＝∫{(sin^2 x+cos^2 x)}over{sin^2 x} dx
newline ＝∫{sinx sinx+cosx cosx}over{sin^2 x} dx
newline ＝∫{-(cosx)'sinx+cosx(sinx)'}over{sin^2 x} dx
newline ＝-∫{(cosx)'sinx-cosx(sinx)'}over{sin^2 x} dx
newline ＝-∫({cosx}over{sinx})' dx
newline ＝-{cosx}over{sinx} +C
newline ＝-{1}over{tanx} +C

文にするとこんな感じ....


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5：本物[cTLFPoYYs7Vf01] 13/12/02 12:35:57
正解なんかな？

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